Answer: The volume of the cone after the tip is cut off equals 150 cubic inches
Step-by-step explanation: The dimensions of the cone formed from the funnel are given as height equals 9 inches and, radius equals 4 inches (radius = 8/2).
The volume of a cone is determined as follows;
Volume = πr²h/3
Volume = π x 4² x (9/3)
Volume = π x 16 x 3
Volume = 48π
When a portion of the cone is cut off from the tip, the height from the cut off part is 1 inch and the radius is 0.5 inch (radius = 1/2).
The volume of the cut off portion can now be calculated as;
Volume = πr²h/3
Volume = π x 0.5² x (3/3)
Volume = π x 0.25 x 1
Volume = 0.25π
Hence the volume of the cone after the tip has been cut off is now derived as follows;
Volume = 48π - 0.25π
Volume = 47.75π
Volume = 47.75 x 3.14
Volume = 149.935
Volume ≈ 150 cubic inches (Rounded to the nearest whole number)